• Journal of Educational Research in Mathematics
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• v.19 no.1
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• pp.143-161
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• 2009

This study was designed to gain insights into students' visualization process in geometric problem solving. The visualization model for analysing visual process for geometric problem solving was developed on the base of Duval's study. The subjects of this research are two Grade 9 students and six Grade 10 students. They were given 2D-geometric problems. Their written solutions were analyzed problem is research depicted characteristics of process of visualization of individually. The findings on the students' geometric problem solving process are as follows: In geometric problem solving, visualization provided a significant insight by improving the students' figural apprehension. In particular, the discoursive apprehension and the operative apprehension contributed to recognize relation between the constituent of figures and grasp structure of figure.

• Journal of Environmental Health Sciences
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• v.36 no.5
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• pp.351-359
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• 2010

The objectives of this study were to understand the characteristics of residents in industrial areas and factors affecting exposure to the Volatile Organic Compounds(VOCs : Benzene, Toluene, Xylene) as well as to assess exposure levels according to house-type, and whether residents were indoors or outdoors. This research was designed to assess the differences in exposure levels to indoor, outdoor and personal VOCs in a case group and a control group across all areas, as well as in each different area, from May to October 2007, in. 110 residents of the G, Y and H industrial areas of the Jun-nam province. The geometric mea-levels of airborne benzene for the case group 1.31part per billion(ppb) indoor, 1.29 ppb outdoor, and 1.32 ppb for personal exposure were significantly higher than for the control group 0.99, 0.87 and 0.57 ppb, respectively. The geometric mean level for toluene personal exposure across the G, Y and H areas was 5.70 ppb for the case group and 6.31 ppb for the control group. While the outdoor level was 4.27 ppb for the case group and 5.06 ppb for the control group, The indoor level for the case group was 4.78 ppb, similar to that of the control group 4.69 ppb. The geometric mean levels for airborne xylene across the G, Y and H areas were 0.16 ppb(outdoor), 0.12 ppb(personal exposure) and 0.10 ppb(indoor) for the case group, and for the control group were 0.17(personal exposure) and 0.09 ppb(indoor and outdoor). The indoor/outdoor(I/O) ratio for case group is 1.19, while that of the control group is 1.15, indicating that the indoor level was higher than the outdoor level. The interrelationship differences among the three different types of levels in the air in the G, Y and H areas are statistically significant, except for the difference between the indoor and outdoor figures for xylene. In terms of the different types of houses and energy type uesd, the geometric mean level for airborne benzene, toluene and xylene for houses were 1.61, 5.39 and 0.12 ppb, respectively. while the figures for flats were 0.67, 3.32 and 0.05 ppb, respectively. Outdoors, the levels of benzene and toluene in flats were 0.71 and 2.62 ppb, respectively. and 1.58 and 5.35 ppb in houses. For personal exposure, the house levels of benzene, toluene and xylene were all higher than for flats. Houses using oil for heating have significantly higher levels than flats, which use gas for heating.

• Korean Journal of Computational Design and Engineering
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• v.1 no.2
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• pp.97-106
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• 1996

Existing CAD systems do not provide advanced functions for automatic checking design and drafting errors in mechanical drawings. If the knowledge of checking in mechanical ddrsfting can be implemented into computers, CAD systems could automatically check for design and drafting errors. This paper describes a method for systematic checking of dimension errors. such as deficiency and/or redundancy of dimension input-errors in dimension figures and symbols, etc. The logic for finding dimensional errors is written by using a proccedural language. A geometric model and a topological-graph model are used in this method. Checking for deficiency and redundancy of dimensions is based upon graph Theory.

• Journal for History of Mathematics
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• v.36 no.1
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• pp.1-17
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• 2023

Paper folding is a versatile tool that can be used not only as a mathematical model for analyzing the geometric properties of plane and spatial figures but also as a visual method for finding the real roots of polynomial equations. The historical evolution of origami's geometric and algebraic techniques has led to the discovery of definitions and properties that can enhance one's cognitive understanding of mathematical concepts and generate mathematical interest and motivation on an emotional level. This paper aims to examine the history of origami geometry, the utilization of origami for solving polynomial equations, and the process of determining the real roots of quadratic, cubic, and quartic equations through origami techniques.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.129-149
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• 2020

This study reports the results of analyzing the learning opportunities about the plane figures provided by the first and second grade mathematics textbooks. The plane figures that students learn during this period are important in that it serves as the basis for the later geometric education. With assumptions that mathematics learning is related to the problem of meaning and that meaning-related activity can be viewed as a symbolic activity, it adopts and uses the perspectives and tools of semiotics to analyze the learning opportunities provided by the mathematics textbook. The analysis of the semiotic process of the textbook activities revealed the significance of learning opportunities and helped to distinguish the seemingly similar learning opportunities. Based on the results of the analysis, I discussed the link between learning opportunities provided by grade 1 and grade 2 mathematics textbooks. Finally, the paper concludes with suggestions and conclusions and suggestions for further research.

• The Journal of the Korea Contents Association
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• v.9 no.12
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• pp.556-565
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• 2009

In this paper, we propose a CAD software framework to automatically generate a shop drawing. Shop drawing is to draw the geometric figures representing an arrangement of steel bars for a concrete building on its structural design, based on its construction specifications and the design rules, and its well-formed process lead to be automated. A key point of the design automation is to minimize the user interactions by automatically recognizing the design specifications and to finally generate the shape of the geometric figures. The graphic pipeline of the proposed framework consists of four stages; a specification DB, specification extraction, binding, and rendering. To effectively extract all specifications only for a figure from the DB and bind them to its shape, we use a hierarchical approach; the specifications are classified into three common, structural, and figure classes, and each attribute is extracted in design phases. Based on our framework, we implemented a specialized CAD for shop drawing using AutoCAD and could easily update it according to user's demands.

• Journal of the Korean Society of Costume
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• v.59 no.6
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• pp.29-40
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• 2009

On April 28th of 2006, a set of Buddha's reliquary was excavated from the pagoda in n Nacsan Temple. According to the record, the relics were put in the pagoda in the 18th year of King SookJong in the Chosun Dynasty (1692). The present paper examines ten pieces of wrapping clothes covering reliquary found in the pagoda. They are especially precious data in the history of textiles because they were blocked off from outside and was preserved in good condition with vivid colors still remaining after more than 300 years. Of the ten pieces of wrapping cloth, five were double-layered and the other five were single-layered. They include 15 pieces of silk fabric but, excluding repeated use of the same silk fabric, the total of 11 pieces of silk fabric were examined. All 11 kinds of silk fabric were patterned, 9 of which were Satin and the other 2 were Twill. Of the 9 Satin pieces, 8 pieces were 5-end satin which had the ground of 5-end warp satin with the figure of 5-end weft satin. The remaining 1 Satin piece were more splendid with prominent figures by using warp and weft of different colors. The 2 Twill pieces used twill weave-the ground was 3-end warp twill and the figures were 5-end weft twill. Both of the Twill pieces were weaved with character patterns, partly using wrapped gold thread as supplementary weft. The patterns of 11 pieces of silk fabric include flower, dragon/phoenix, cloud, and geometric patterns. Five were flower patterns, three were dragon/phoenix patterns, two were geometric pattern, and one was cloud pattern. In addition, various treasure patterns, character patterns were utilized as supplementary patterns. The flower and phoenix patterns reflect characteristics of the textiles of the 17th century whereas check pattern and cloud pattern were very unique.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.1
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• pp.81-98
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• 2007

In order to help students learn geometric concepts in mathematics in an easy and interesting way, the present study restructured the textbook so that it utilizes GSP based on van Hiele's theory. In addition, we purposed to examine how effective the restructured textbook is in enhancing students' van Hiele level and to lay a base for the active use of GSP in learning figures in elementary school. In conclusion, the results of this study is expected to solve problems in the structure of the current textbook such as the violation of continuity in van Hiele's theory and inconsistency between the level of textbook contents and students' level through the restructuring of the textbook using GSP and provide helps for effective figure learning. In addition, this research is expected to be an opportunity for the active use of GSP in teaching figures in elementary school.

• Journal of the Korean Society of Costume
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• v.60 no.10
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• pp.133-145
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• 2010

The study used four basic formats classified based on the four principles on costumes discussed in the paper 'Human Beings and Arts Phenomena' by Oskar Schlemmer who studied the relationships between stage space and the human body as an analysis tool with regard to analyses on the abstraction of human body in contemporary dance costume. Abstraction of human body expressed in costume for contemporary dance is as follows: Expansions caused by unclear boundary between spaces and costumes, and the principles of three-dimensional abstract spaces based on a geometric cube change heads, trunks, arms and legs to achieve expansions. Similar mechanical shape is a type of shape made in a succession of functional principles of human body in relationships with spaces. As mechanical mechanism is added to the geometric transformation of a specific part of human body, mechanicalness is contained in it. Motion organisms are geometric simplification of moving traces in a space based on conversion into mechanical organisms based on principles of motion, and as mechanical rotation, consecutive speed caused by refraction and directionality are suggested, mobility is achieved. Immaterial shape is based on change into a metaphysical form, and it is converted into animals, plants or a third life that symbolize body parts. It has metaphysical significance in each body part and extends sensibility. As a result of the study, development into abstract succession and a techno art mode has been confirmed. Combination of geometric cubic figures with the organic human body and configuration of the human body pursued by Oskar Schlemmer's geometric abstraction through the proactive accommodation of mechanical aesthetics has been succeeded and expressed in the contemporary dance costumes.

• Journal of the Korea Fashion and Costume Design Association
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• v.4 no.2
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• pp.139-161
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• 2002

This study investigates the characteristics of Nordic sweaters works from a historical perspective. Specifically, this study deals with the following research topics: 1) development of Nordic sweaters, 2) the characteristics of Nordic sweaters industry according to the change of times, 3) the comparison of local knitting patterns, 4) the symbolic meaning of the designs in the Nordic sweaters and patterns. The results of the study are summarized as follows. 1. Knitted work developed mostly in Northern Europe, a cold area, and the barren, mountainous coastal areas where people frequently used woolen materials for clothes. It was also developed in Scandinavian regions which lead the fashion in modern days. Scandinavian knitting techniques have been diffused into the east coast of England and Northern Europe by Vikings. 2. Scandinavian countries are distinguished from other countries by their conservative but creative cultural tradition. Their knitting patterns are characterized by small geometric figures such as dots, triangles, squares, rhombuses, and crosses used often with stars and roses. Scandinavian knitting is also salient for its vertical stripes and simple motifs repeating at short intervals. 1) Norway ; Simple and geometric Norwegian patterns are classified into three groups of motifs: (a) the motifs of cross, diamond, X, and swastika (equation omitted). (b) the motifs of human figures, animals and birds, (c) floral motifs (especially eight-petal roses). Their use of color is also simple, and is limited to more than two colors. (2) Sweden ; Swedish patterns are colorful and geometric. They are characterized by features such as brocade, complex embroidery, and contrast of red and black colors. They also show Guernsey patterns. Initials and production years were knitted in sweaters which have different patterns in their trunks and sleeves. 3) Denmark ; The Danish pattern is the purl stitch knitted against the stockinette stitch. The technique is used to copy woven damask motifs. The patterns are seen most clearly when they are knit with smooth yarn. The Faeroe sweaters are the representative work of Danish knitting. Faeroe knitting, incorporates stranded pattern and is knit in the round, either with circular needles. 4) Finland ; Finnish patterns are similar to Norwegian patterns. Finnish knitted work show very colorful, variety and free-flowing geometric patterns. 5) Iceland ; Icelandic knitting shows original ribbon pattern. Lope sweater is the representative work. 3. The traditional knitting patterns not only carried symbolic meanings but also served as means of communication. First of all, patterns had incantatory meanings. Patterns were symbolic of one's social standing, too. The colors, motifs and their arrangements were very important features symbolizing one's social position or family line. People often communicated by certain pieces of knitted work or patterns. In short, the knitted work in the Nordic sweaters served the function of admiring the beauty of nature and symbolizing various meanings. The unique designs and colors of the knitted work reflected the characteristics of the culture those works belonged to. This study also turns our attention to the issue of how the traditional colors and designs of the knitted work can contribute to the development of modern designs, and by doing so, if makes us realize the importance of knitted works in modern society.